What is the Greatest Common Factor of 32019 and 32032?

Greatest common factor (GCF) of 32019 and 32032 is 13.

GCF(32019,32032) = 13

We will now calculate the prime factors of 32019 and 32032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32019 and 32032.

How to find the GCF of 32019 and 32032?

We will first find the prime factorization of 32019 and 32032. After we will calculate the factors of 32019 and 32032 and find the biggest common factor number .

Step-1: Prime Factorization of 32019

Prime factors of 32019 are 3, 13, 821. Prime factorization of 32019 in exponential form is:

32019 = 3¹ × 13¹ × 821¹

Step-2: Prime Factorization of 32032

Prime factors of 32032 are 2, 7, 11, 13. Prime factorization of 32032 in exponential form is:

32032 = 2⁵ × 7¹ × 11¹ × 13¹

Step-3: Factors of 32019

List of positive integer factors of 32019 that divides 32019 without a remainder.

1, 3, 13, 39, 821, 2463, 10673

Step-4: Factors of 32032

List of positive integer factors of 32032 that divides 32019 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 224, 286, 308, 352, 364, 416, 572, 616, 728, 1001, 1144, 1232, 1456, 2002, 2288, 2464, 2912, 4004, 4576, 8008, 16016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32019 and 32032. The biggest common factor number is the GCF number.
So the greatest common factor 32019 and 32032 is 13.

Also check out the Least Common Multiple of 32019 and 32032